20064

Appears in sequences

• Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 3 (mod 4).at n=49A035551
• a(1) =4, a(n) = smallest multiple of a(n-1) (not equal to 10^k*a(n-1)) obtained by inserting digits anywhere in a(n-1).at n=3A080489
• a(n) = 2*a(n-1) + 2*a(n-2); a(0)=0, a(1)=3.at n=10A083337
• Area of the Pythagorean triangle a = u^2 - v^2 (cf. A096382) when u=3, v=4,4,5,...at n=15A096383
• Indices of primes in sequence defined by A(0) = 47, A(n) = 10*A(n-1) - 53 for n > 0.at n=12A101717
• Natural numbers that can be factored into the product of three positive integers whose minimal sum is achieved in more than one way.at n=21A112536
• Numbers such that the sum of the factorials of the digits of the fourth power is a square.at n=30A126077
• a(n) = 19*n*(n+1).at n=32A173309
• The number of words of length n created with the letters a, b, c with at least as many a's as b's and at least as many b's as c's and no adjacent letters forming the pattern aba.at n=11A176354
• Numbers of the form p^5*q*r*s where p, q, r, and s are distinct primes.at n=22A179704
• a(n) = 14*n^2 - 4*n.at n=38A195023
• Common differences in triples of squares in arithmetic progression, that are not a multiples of other triples in (A198384, A198385, A198386).at n=28A198438
• Triangle of coefficients of polynomials v(n,x) jointly generated with A207622; see the Formula section.at n=51A207623
• Triangle of coefficients of polynomials v(n,x) jointly generated with A208753; see the Formula section.at n=45A208754
• Negated coefficients of Chebyshev T polynomials: a(n) = -A053120(n+14, n), n >= 0.at n=5A209404
• Number of 2 X 2 matrices having all terms in {1,...,n} and positive even determinant.at n=15A211067
• Area A of the cyclic quadrilaterals PQRS with PQ>=QR>=RS>=SP, such that A, the sides, the radius of the circumcircle and the two diagonals are integers.at n=30A219225
• Least number k with at least one zero such that k^n contains no zero, or 0 if no such number exists.at n=21A234966
• a(n) = Sum_{k=0..n} binomial(n+k+2,k)*binomial(2*n+1,n-k).at n=5A275827
• Expansion of Sum_{k>=1} prime(k)*x^prime(k)/(1 - x^prime(k)) * Product_{k>=1} 1/(1 - x^prime(k)).at n=43A276560